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The fractional residual method for solving the local fractional differential equations

Yang Yong-Ju (School of Mathematics and Statistics, Nanyang Normal University, Nanyang, China)

This paper proposes a new method to solve local fractional differential equation. The method divides the studied equation into a system, where the initial solution is obtained from a residual equation. The new method is therefore named as the fractional residual method. Examples are given to elucidate its efficiency and reliability.

Keywords: local fractional derivative, residual method